Search a number
-
+
103103021112300 = 2232521114517177427
BaseRepresentation
bin10111011100010110001010…
…111100101101101111101100
3111112001112220210222112221200
4113130112022330231233230
5102003214441401043200
61003140512442125500
730500642656331406
oct2734261274555754
9445045823875850
10103103021112300
112a940822589380
12b6920811b0890
13456b75b34c5a1
141b662da0a9b76
15bdbe2d5b2800
hex5dc58af2dbec

103103021112300 has 216 divisors, whose sum is σ = 352792864936512. Its totient is φ = 24977442480000.

The previous prime is 103103021112283. The next prime is 103103021112307. The reversal of 103103021112300 is 3211120301301.

103103021112300 is a `hidden beast` number, since 1 + 0 + 310 + 30 + 2 + 11 + 12 + 300 = 666.

It is a super-2 number, since 2×1031030211123002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (103103021112307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10776187 + ... + 17953613.

It is an arithmetic number, because the mean of its divisors is an integer number (1633300300632).

Almost surely, 2103103021112300 is an apocalyptic number.

103103021112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103103021112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176396432468256).

103103021112300 is an abundant number, since it is smaller than the sum of its proper divisors (249689843824212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103103021112300 is a wasteful number, since it uses less digits than its factorization.

103103021112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178909 (or 7178899 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103103021112300 its reverse (3211120301301), we get a palindrome (106314141413601).

The spelling of 103103021112300 in words is "one hundred three trillion, one hundred three billion, twenty-one million, one hundred twelve thousand, three hundred".